In the figure find the sum of angle 1, 2,3,4,5,6,7,8 and angle 9
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In △XQP and △XYZ,
∠XQP=∠XYZ=90∘
∠QXP=∠YXZ (Common angle)
∴△XQP∼△XYZ
XZXP=XYXQ (By properties of similar triangle)
⇒24cm4cm=16cmXQ
⇒XQ=616 cm
⇒XQ=38 cm
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